An item designed to accurately select any degree of angle for milling, grinding, drilling, or boring operations. It is not furnished with a work-holding device such as a chuck or vise. It may be furnished with centers. It may be of the automatic angle selector type, manual (perforated disk) angle selector type, or optical system positioning type. It may consist of two units (a head and a tail-stock). Excludes HOLDING FIXTURE, COLLET CHUCKING, MACHINE.